Definition.
Orthogonality.
Recurrence relation.
where
Normalized recurrence relation.
where
q-Difference equation.
Forward shift operator.
or equivalently
Backward shift operator.
or equivalently
where
Rodrigues-type formula.
Generating function.
Remark. If we set 
and change q to 
we find the
q-Laguerre polynomials defined by (3.21.1) in the following
way :
References. [13], [25], [71], [121], [123], [124], [169], [193], [279], [280], [323], [392], [396].
